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130844025 = 33521323137
BaseRepresentation
bin1111100110010…
…00010101111001
3100010012120021000
413303020111321
5231444002100
620552235213
73146104314
oct763102571
9303176230
10130844025
1167949064
123799bb09
1321152a00
141353d97b
15b748900
hex7cc8579

130844025 has 144 divisors (see below), whose sum is σ = 275934720. Its totient is φ = 60652800.

The previous prime is 130844023. The next prime is 130844047. The reversal of 130844025 is 520448031.

It is not a de Polignac number, because 130844025 - 21 = 130844023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130844025.

It is not an unprimeable number, because it can be changed into a prime (130844023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3536307 + ... + 3536343.

Almost surely, 2130844025 is an apocalyptic number.

130844025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130844025 is an abundant number, since it is smaller than the sum of its proper divisors (145090695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130844025 is a wasteful number, since it uses less digits than its factorization.

130844025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 130844025 is about 11438.7073133287. The cubic root of 130844025 is about 507.6736607105.

The spelling of 130844025 in words is "one hundred thirty million, eight hundred forty-four thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 27 31 37 39 45 65 75 93 111 117 135 155 169 185 195 225 279 325 333 351 403 465 481 507 555 585 675 775 837 845 925 975 999 1147 1209 1395 1443 1521 1665 1755 2015 2325 2405 2535 2775 2925 3441 3627 4185 4225 4329 4563 4995 5239 5735 6045 6253 6975 7215 7605 8325 8775 10075 10323 10881 12025 12675 12987 14911 15717 17205 18135 18759 20925 21645 22815 24975 26195 28675 30225 30969 31265 36075 38025 44733 47151 51615 54405 56277 64935 74555 78585 86025 90675 93795 108225 114075 130975 134199 141453 154845 156325 168831 193843 223665 235755 258075 272025 281385 324675 372775 392925 402597 468975 581529 670995 707265 774225 844155 969215 1118325 1178775 1406925 1744587 2012985 2907645 3354975 3536325 4220775 4846075 5233761 8722935 10064925 14538225 26168805 43614675 130844025